P. L. Robinson

activity

20152021

most citedProjective Space: Lines and Duality

3 citations · 12 across the 30 of their papers we have counts for

collaborators

Showing math.CAShow all

9 papers · 1 filter

math.CA2021★ 1 cited

A root elliptic function in signature four

P. L. Robinson

We present a new approach to elliptic functions in signature four, offering a fresh perspective on work of Li-Chien Shen.

math.CA2020

Elliptic functions from hypergeometric integrals

P. L. Robinson

As a contribution to the Ramanujan theory of elliptic functions to alternative bases, Li-Chien Shen has shown how analogues of the Jacobian elliptic functions may be derived from i…

math.CA2019

Higher Trigonometry: A Class Of Nonlinear Systems

P. L. Robinson

We study the initial value problem ' $s^{'} = c^{p - 1}, c^{'} = - s^{p - 1}; s (0) = 0, c (0) = 1$ ' (both as a real system and as a complex system) for each integer $p > 2$ ,…

math.CA2018

Bessel function asymptotics: a relation due to Lommel

P. L. Robinson

We show that the Bessel function asymptotic relation $J_{ν}^{2} (z) + J_{ν + 1}^{2} (z) \sim 2/ (π z)$ of Lommel is valid when $z$ is real but can fail otherwise.

math.CA2017

Conservative inclusion of Nörlund methods

P. L. Robinson

We offer practical necessary and sufficient conditions in order that every sequence convergent relative to the Nörlund summation method $(N, p)$ be convergent relative to the Nörlu…

math.CA2017

Marcel Riesz on Nörlund Means

P. L. Robinson

We note that the necessary and sufficient conditions established by Marcel Riesz for the inclusion of regular Nörlund summation methods are in fact applicable quite generally.